What is expand 2sec(pi/4 (x+3)) ?

The solution to expand 2sec(pi/4 (x+3)) is -(2sqrt(2)}{cos(\frac{pix)/4)+sin((pix)/4)}

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expand 2sec(pi/4 (x+3))

expand

2 sec (\frac{π}{4} (x + 3))

- \frac{2 2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}

Solution steps

2 sec (\frac{π}{4} (x + 3))

Expand

\frac{π}{4} (x + 3) : \frac{π}{4} x + 3 \cdot \frac{π}{4}

= 2 sec (\frac{π}{4} x + 3 \cdot \frac{π}{4})

Rewrite using trig identities

= 2 (- \frac{2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )})

Simplify

2 (- \frac{2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}) : - \frac{2 2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}

= - \frac{2 2}{cos ( \frac{π x}{4} ) + sin ( \frac{π x}{4} )}

\frac{x - 3}{x ^{2} ( x - 1 )}

\frac{5}{( x - 2 ) ( x + 3 )}

\frac{8 x}{( x ^{2} + 1 ) ^{2}}

\frac{( x - 5 ) ( x + 4 )}{x ^{2} + x + 30}

\frac{d x}{x ( x ^{2} + 5 )}

What is expand 2sec(pi/4 (x+3)) ?
The solution to expand 2sec(pi/4 (x+3)) is -(2sqrt(2)}{cos(\frac{pix)/4)+sin((pix)/4)}